MATH& 142 - Pre-Calculus II

5 Credits
Trigonometric and inverse trigonometric functions, their graphs and transformations of their graphs, with applications to mathematical modeling. Solving trigonometric equations, the derivation and use of trigonometric identities. Polar coordinates and parametric equations, with applications to mathematical modeling. Conic sections, with applications to mathematical modeling.

General education distribution area: Quantitative / Symbolic Reasoning.

Prerequisite(s): Completion of MATH& 141 with a 2.0 or higher, or placement by assessment.

Course Outcomes

Evaluate and graph trigonometric functions using both right-angle and unit-circle formulations through the lens of linear transformations.
Identify important features of trigonometric and inverse trigonometric functions including domain, range, symmetry, period, amplitude and phase shift.
Verify trigonometric identities and simplify trigonometric expressions.
Solve trigonometric equations using trigonometric identities and inverse trigonometric functions.
Translate between the Cartesian and parametric representations, and between polar and rectangular coordinates, of equations and graphs.
Perform vector operations.
Apply vector properties for solving mathematical problems.
Apply trigonometric, algebraic, parametric, vector, and geometric concepts to answer word problems.
Communicate using mathematical notation and language.